Prime p₀= 798093864537223937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: amazing
db: batch=73, k=10, 2 40 2 28 2

STPT(10)	798092383222992587	0 2 30 32 72 74 114 116 144 146	-1481314231350
SPT(16)	798092415368988533	0 24 78 128 216 224 236 260 294 318 330 338 426 476 530 554	-1449168235404
SPT(18)	798092706712100707	0 22 42 46 112 120 130 136 144 172 180 186 196 204 270 274 294 316	-1157825123230
SPT(16)	798093085842765187	0 30 34 72 76 126 132 156 220 244 250 300 304 342 346 376	-778694458750
SPT(16)	798093299366169761	0 78 236 248 272 278 282 296 342 356 360 366 390 402 560 638	-565171054176
STPT(10)	798093411678446129	0 2 120 122 180 182 240 242 360 362	-452858777808
STPT(10)	798094089997170677	0 2 12 14 42 44 72 74 84 86	225459946740
TPT(14)	798094264236686741	0 2 36 38 78 80 120 122 126 128 210 212 228 230	399699462804
STPT(10)	798094312289114471	0 2 36 38 78 80 120 122 156 158	447751890534
SPT(16)	798094497221541881	0 6 18 20 26 30 32 62 96 126 128 132 138 140 152 158	632684317944
STPT(10)	798094618778340017	0 2 30 32 162 164 294 296 324 326	754241116080